Chapter 4 - Two-Dimensional Kinematics - Problems and Conceptual Exercises - Page 106: 27

$\textbf{(a)}$ $A,B,C.$ $\textbf{(b)}$ $C, B, A$.

$\textbf{(a)}$ Since the initial speed is fixed, the maximum achieved height depends only on the vertical component of the velocity - it is proportional to the square of its value. Further, since the speed is fixed, the bigger the vertical component the smaller the horizontal one. So we conclude that the order of increasing horizontal component of the velocity is the reverse of the order of increasing maximum achieved height so we have: $A,B,C.$ $\textbf{(b)}$ Again, since the initial speed is fixed, the time of flight depends only on the vertical component of the velocity - it is proportional to it. Since both the maximum height and the time of flight increase with the vertical component, then their orders have to match each other so we have: $C, B, A$.